101110020202009 has 48 divisors (see below), whose sum is σ = 134127935293968. Its totient is φ = 75286717083648.

The previous prime is 101110020201979. The next prime is 101110020202013. The reversal of 101110020202009 is 900202020011101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 371060067609 + 100738960134400 = 609147^2 + 10036880^2 .

It is not a de Polignac number, because 101110020202009 - 2¹¹ = 101110020199961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101110020212009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125137899 + ... + 125943295.

It is an arithmetic number, because the mean of its divisors is an integer number (2794331985291).

Almost surely, 2^{101110020202009} is an apocalyptic number.

It is an amenable number.

101110020202009 is a deficient number, since it is larger than the sum of its proper divisors (33017915091959).

101110020202009 is a wasteful number, since it uses less digits than its factorization.

101110020202009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817034 (or 817027 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 101110020202009 in words is "one hundred one trillion, one hundred ten billion, twenty million, two hundred two thousand, nine".